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mf_newforms • Show schema
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{'Nk2': 99372, 'analytic_conductor': 198.37235374146687, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [13, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [24843, 1, [8282, 1522, 3382], [36, 36, 36]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 2, 'field_disc_factorization': [[2, 1]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991546635, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '24843.2.a.bj', 'level': 24843, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 13], 'level_radical': 273, 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '24843.2.a', 'trace_display': [2, 2, -4, 0], 'traces': [2, 2, 2, 2, -4, 2, 0, 6, 2, 0, 4, 2, 0, 0, -4, 6, 4, 2, 0, 4, 0, 4, -4, 6, 2, 0, 2, 0, -8, 0, 8, -6, 4, 16, 0, 2, 8, -8, 0, -8, -4, 0, 0, 4, -4, 12, 0, 6, 0, -14, 4, 0, -4, 2, -8, 0, 0, 0, 8, 4, 16, 16, 0, -14, 0, 4, 0, 28, -4, 0, 4, 6, -8, 8, 2, -16, 0, 0, 16, -12, 2, 8, 8, 0, 4, -16, -8, 12, 20, 0, 0, 28, 8, -8, -8, -6, -8, 0, 4, -30], 'weight': 2, 'weight_parity': 1}
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label 24843.2.a.bj does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [130, 128, 136, 135, 137, 120, 126, 147], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [27, 28, 28, 28, 28, 28, 28, 28], 'ALdims_old': [272, 289, 279, 272, 283, 284, 280, 267], 'Nk2': 99372, 'analytic_conductor': 198.37235374146687, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [24843, 1, [8282, 1522, 3382], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 3285, 'dim': 1059, 'eis_dim': 223, 'eis_new_dim': 0, 'hecke_orbit_code': 33579275, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 15, 15, 16, 16, 16, 16, 16, 16, 18, 18, 18, 18, 20, 20, 21, 21, 21, 21, 24, 24, 24, 24, 24, 24, 36, 36, 36, 36], 'label': '24843.2.a', 'level': 24843, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 3508, 'mf_new_dim': 1059, 'num_forms': 134, 'plus_dim': 511, 'prim_orbit_index': 1, 'relative_dim': 1059, 'sturm_bound': 6794, 'trace_display': [-3, 1, -6, 0], 'traces': [1059, -3, 1, 1059, -6, 1, 0, -15, 1059, -10, -4, -1, 0, 0, -2, 1063, -6, -3, 8, -26, 0, -16, -12, 9, 1041, 0, 1, 0, -10, -18, -12, -43, -8, -18, 0, 1059, -16, 4, 0, -18, 6, 0, -26, -16, -6, 8, -12, -17, 0, -37, 10, 0, -34, 1, -12, 0, -2, -42, -8, 14, 34, 4, 0, 1043, 0, -20, -6, -38, 12, 0, 24, -15, 6, -122, 15, -48, 0, 0, -34, -50, 1059, 2, -16, 0, -36, 72, 2, -24, -18, -10, 0, 76, -6, 40, 24, 29, -2, 0, -4, 1069, -14, 6, 32, 0, 0, 78, 56, -1, -28, 112, 14, 0, -46, 8, -24, 54, 0, 4, 0, -58, 1043, 98, 2, -76, -36, 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source_label 24843.2.a.bj does not appear in mf_twists_nf
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hecke_orbit_code 157625986991546635 does not appear in mf_hecke_charpolys
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label 24843.2.a.bj does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 167612742
{'hecke_orbit_code': 157625986991546635, 'n': 1, 'trace_an': 2}
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id: 167612743
{'hecke_orbit_code': 157625986991546635, 'n': 2, 'trace_an': 2}
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id: 167612744
{'hecke_orbit_code': 157625986991546635, 'n': 3, 'trace_an': 2}
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id: 167612745
{'hecke_orbit_code': 157625986991546635, 'n': 4, 'trace_an': 2}
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id: 167612746
{'hecke_orbit_code': 157625986991546635, 'n': 5, 'trace_an': -4}
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id: 167612747
{'hecke_orbit_code': 157625986991546635, 'n': 6, 'trace_an': 2}
-
id: 167612748
{'hecke_orbit_code': 157625986991546635, 'n': 7, 'trace_an': 0}
-
id: 167612749
{'hecke_orbit_code': 157625986991546635, 'n': 8, 'trace_an': 6}
-
id: 167612750
{'hecke_orbit_code': 157625986991546635, 'n': 9, 'trace_an': 2}
-
id: 167612751
{'hecke_orbit_code': 157625986991546635, 'n': 10, 'trace_an': 0}
-
id: 167612752
{'hecke_orbit_code': 157625986991546635, 'n': 11, 'trace_an': 4}
-
id: 167612753
{'hecke_orbit_code': 157625986991546635, 'n': 12, 'trace_an': 2}
-
id: 167612754
{'hecke_orbit_code': 157625986991546635, 'n': 13, 'trace_an': 0}
-
id: 167612755
{'hecke_orbit_code': 157625986991546635, 'n': 14, 'trace_an': 0}
-
id: 167612756
{'hecke_orbit_code': 157625986991546635, 'n': 15, 'trace_an': -4}
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id: 167612757
{'hecke_orbit_code': 157625986991546635, 'n': 16, 'trace_an': 6}
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id: 167612758
{'hecke_orbit_code': 157625986991546635, 'n': 17, 'trace_an': 4}
-
id: 167612759
{'hecke_orbit_code': 157625986991546635, 'n': 18, 'trace_an': 2}
-
id: 167612760
{'hecke_orbit_code': 157625986991546635, 'n': 19, 'trace_an': 0}
-
id: 167612761
{'hecke_orbit_code': 157625986991546635, 'n': 20, 'trace_an': 4}
-
id: 167612762
{'hecke_orbit_code': 157625986991546635, 'n': 21, 'trace_an': 0}
-
id: 167612763
{'hecke_orbit_code': 157625986991546635, 'n': 22, 'trace_an': 4}
-
id: 167612764
{'hecke_orbit_code': 157625986991546635, 'n': 23, 'trace_an': -4}
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id: 167612765
{'hecke_orbit_code': 157625986991546635, 'n': 24, 'trace_an': 6}
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id: 167612766
{'hecke_orbit_code': 157625986991546635, 'n': 25, 'trace_an': 2}
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id: 167612767
{'hecke_orbit_code': 157625986991546635, 'n': 26, 'trace_an': 0}
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id: 167612768
{'hecke_orbit_code': 157625986991546635, 'n': 27, 'trace_an': 2}
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id: 167612769
{'hecke_orbit_code': 157625986991546635, 'n': 28, 'trace_an': 0}
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id: 167612770
{'hecke_orbit_code': 157625986991546635, 'n': 29, 'trace_an': -8}
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id: 167612771
{'hecke_orbit_code': 157625986991546635, 'n': 30, 'trace_an': 0}
-
id: 167612772
{'hecke_orbit_code': 157625986991546635, 'n': 31, 'trace_an': 8}
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id: 167612773
{'hecke_orbit_code': 157625986991546635, 'n': 32, 'trace_an': -6}
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id: 167612774
{'hecke_orbit_code': 157625986991546635, 'n': 33, 'trace_an': 4}
-
id: 167612775
{'hecke_orbit_code': 157625986991546635, 'n': 34, 'trace_an': 16}
-
id: 167612776
{'hecke_orbit_code': 157625986991546635, 'n': 35, 'trace_an': 0}
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id: 167612777
{'hecke_orbit_code': 157625986991546635, 'n': 36, 'trace_an': 2}
-
id: 167612778
{'hecke_orbit_code': 157625986991546635, 'n': 37, 'trace_an': 8}
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id: 167612779
{'hecke_orbit_code': 157625986991546635, 'n': 38, 'trace_an': -8}
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id: 167612780
{'hecke_orbit_code': 157625986991546635, 'n': 39, 'trace_an': 0}
-
id: 167612781
{'hecke_orbit_code': 157625986991546635, 'n': 40, 'trace_an': -8}
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id: 167612782
{'hecke_orbit_code': 157625986991546635, 'n': 41, 'trace_an': -4}
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id: 167612783
{'hecke_orbit_code': 157625986991546635, 'n': 42, 'trace_an': 0}
-
id: 167612784
{'hecke_orbit_code': 157625986991546635, 'n': 43, 'trace_an': 0}
-
id: 167612785
{'hecke_orbit_code': 157625986991546635, 'n': 44, 'trace_an': 4}
-
id: 167612786
{'hecke_orbit_code': 157625986991546635, 'n': 45, 'trace_an': -4}
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id: 167612787
{'hecke_orbit_code': 157625986991546635, 'n': 46, 'trace_an': 12}
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id: 167612788
{'hecke_orbit_code': 157625986991546635, 'n': 47, 'trace_an': 0}
-
id: 167612789
{'hecke_orbit_code': 157625986991546635, 'n': 48, 'trace_an': 6}
-
id: 167612790
{'hecke_orbit_code': 157625986991546635, 'n': 49, 'trace_an': 0}
-
id: 167612791
{'hecke_orbit_code': 157625986991546635, 'n': 50, 'trace_an': -14}
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id: 167612792
{'hecke_orbit_code': 157625986991546635, 'n': 51, 'trace_an': 4}
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id: 167612793
{'hecke_orbit_code': 157625986991546635, 'n': 52, 'trace_an': 0}
-
id: 167612794
{'hecke_orbit_code': 157625986991546635, 'n': 53, 'trace_an': -4}
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id: 167612795
{'hecke_orbit_code': 157625986991546635, 'n': 54, 'trace_an': 2}
-
id: 167612796
{'hecke_orbit_code': 157625986991546635, 'n': 55, 'trace_an': -8}
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id: 167612797
{'hecke_orbit_code': 157625986991546635, 'n': 56, 'trace_an': 0}
-
id: 167612798
{'hecke_orbit_code': 157625986991546635, 'n': 57, 'trace_an': 0}
-
id: 167612799
{'hecke_orbit_code': 157625986991546635, 'n': 58, 'trace_an': 0}
-
id: 167612800
{'hecke_orbit_code': 157625986991546635, 'n': 59, 'trace_an': 8}
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id: 167612801
{'hecke_orbit_code': 157625986991546635, 'n': 60, 'trace_an': 4}
-
id: 167612802
{'hecke_orbit_code': 157625986991546635, 'n': 61, 'trace_an': 16}
-
id: 167612803
{'hecke_orbit_code': 157625986991546635, 'n': 62, 'trace_an': 16}
-
id: 167612804
{'hecke_orbit_code': 157625986991546635, 'n': 63, 'trace_an': 0}
-
id: 167612805
{'hecke_orbit_code': 157625986991546635, 'n': 64, 'trace_an': -14}
-
id: 167612806
{'hecke_orbit_code': 157625986991546635, 'n': 65, 'trace_an': 0}
-
id: 167612807
{'hecke_orbit_code': 157625986991546635, 'n': 66, 'trace_an': 4}
-
id: 167612808
{'hecke_orbit_code': 157625986991546635, 'n': 67, 'trace_an': 0}
-
id: 167612809
{'hecke_orbit_code': 157625986991546635, 'n': 68, 'trace_an': 28}
-
id: 167612810
{'hecke_orbit_code': 157625986991546635, 'n': 69, 'trace_an': -4}
-
id: 167612811
{'hecke_orbit_code': 157625986991546635, 'n': 70, 'trace_an': 0}
-
id: 167612812
{'hecke_orbit_code': 157625986991546635, 'n': 71, 'trace_an': 4}
-
id: 167612813
{'hecke_orbit_code': 157625986991546635, 'n': 72, 'trace_an': 6}
-
id: 167612814
{'hecke_orbit_code': 157625986991546635, 'n': 73, 'trace_an': -8}
-
id: 167612815
{'hecke_orbit_code': 157625986991546635, 'n': 74, 'trace_an': 8}
-
id: 167612816
{'hecke_orbit_code': 157625986991546635, 'n': 75, 'trace_an': 2}
-
id: 167612817
{'hecke_orbit_code': 157625986991546635, 'n': 76, 'trace_an': -16}
-
id: 167612818
{'hecke_orbit_code': 157625986991546635, 'n': 77, 'trace_an': 0}
-
id: 167612819
{'hecke_orbit_code': 157625986991546635, 'n': 78, 'trace_an': 0}
-
id: 167612820
{'hecke_orbit_code': 157625986991546635, 'n': 79, 'trace_an': 16}
-
id: 167612821
{'hecke_orbit_code': 157625986991546635, 'n': 80, 'trace_an': -12}
-
id: 167612822
{'hecke_orbit_code': 157625986991546635, 'n': 81, 'trace_an': 2}
-
id: 167612823
{'hecke_orbit_code': 157625986991546635, 'n': 82, 'trace_an': 8}
-
id: 167612824
{'hecke_orbit_code': 157625986991546635, 'n': 83, 'trace_an': 8}
-
id: 167612825
{'hecke_orbit_code': 157625986991546635, 'n': 84, 'trace_an': 0}
-
id: 167612826
{'hecke_orbit_code': 157625986991546635, 'n': 85, 'trace_an': 4}
-
id: 167612827
{'hecke_orbit_code': 157625986991546635, 'n': 86, 'trace_an': -16}
-
id: 167612828
{'hecke_orbit_code': 157625986991546635, 'n': 87, 'trace_an': -8}
-
id: 167612829
{'hecke_orbit_code': 157625986991546635, 'n': 88, 'trace_an': 12}
-
id: 167612830
{'hecke_orbit_code': 157625986991546635, 'n': 89, 'trace_an': 20}
-
id: 167612831
{'hecke_orbit_code': 157625986991546635, 'n': 90, 'trace_an': 0}
-
id: 167612832
{'hecke_orbit_code': 157625986991546635, 'n': 91, 'trace_an': 0}
-
id: 167612833
{'hecke_orbit_code': 157625986991546635, 'n': 92, 'trace_an': 28}
-
id: 167612834
{'hecke_orbit_code': 157625986991546635, 'n': 93, 'trace_an': 8}
-
id: 167612835
{'hecke_orbit_code': 157625986991546635, 'n': 94, 'trace_an': -8}
-
id: 167612836
{'hecke_orbit_code': 157625986991546635, 'n': 95, 'trace_an': -8}
-
id: 167612837
{'hecke_orbit_code': 157625986991546635, 'n': 96, 'trace_an': -6}
-
id: 167612838
{'hecke_orbit_code': 157625986991546635, 'n': 97, 'trace_an': -8}
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id: 167612839
{'hecke_orbit_code': 157625986991546635, 'n': 98, 'trace_an': 0}
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id: 167612840
{'hecke_orbit_code': 157625986991546635, 'n': 99, 'trace_an': 4}
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id: 167612841
{'hecke_orbit_code': 157625986991546635, 'n': 100, 'trace_an': -30}